You take a 20-question multiple-choice exam. Each question has 4 possible answers (only one of which is correct). You need at least 60% to pass the course.  Suppose you are sure you answered the first 6 questions correctly. For the rest, you respond in a random fashion. What is the probability that you will pass?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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You take a 20-question multiple-choice exam.
Each question has 4 possible answers (only one of which is correct). You
need at least 60% to pass the course.

 Suppose you are
sure you answered the first 6 questions correctly. For the rest, you
respond in a random fashion. What is the probability that you will pass?

 

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